Q: What are the factor combinations of the number 137,370,445?

 A:
Positive:   1 x 1373704455 x 2747408971 x 1934795355 x 386959379 x 3624551021 x 1345451895 x 724915105 x 26909
Negative: -1 x -137370445-5 x -27474089-71 x -1934795-355 x -386959-379 x -362455-1021 x -134545-1895 x -72491-5105 x -26909


How do I find the factor combinations of the number 137,370,445?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 137,370,445, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 137,370,445
-1 -137,370,445

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 137,370,445.

Example:
1 x 137,370,445 = 137,370,445
and
-1 x -137,370,445 = 137,370,445
Notice both answers equal 137,370,445

With that explanation out of the way, let's continue. Next, we take the number 137,370,445 and divide it by 2:

137,370,445 ÷ 2 = 68,685,222.5

If the quotient is a whole number, then 2 and 68,685,222.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 137,370,445
-1 -137,370,445

Now, we try dividing 137,370,445 by 3:

137,370,445 ÷ 3 = 45,790,148.3333

If the quotient is a whole number, then 3 and 45,790,148.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 137,370,445
-1 -137,370,445

Let's try dividing by 4:

137,370,445 ÷ 4 = 34,342,611.25

If the quotient is a whole number, then 4 and 34,342,611.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 137,370,445
-1 137,370,445
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15713553791,0211,8955,10526,90972,491134,545362,455386,9591,934,79527,474,089137,370,445
-1-5-71-355-379-1,021-1,895-5,105-26,909-72,491-134,545-362,455-386,959-1,934,795-27,474,089-137,370,445

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